Pith Number

pith:25O74OUW

pith:2019:25O74OUWX4246UUBL6L6OBZLPV

not attested not anchored not stored refs pending

The structure of Schmidt subspaces of Hankel operators: a short proof

Alexander Pushnitski, Patrick Gerard

arxiv:1907.05629 v1 · 2019-07-12 · math.FA · math.CV · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25O74OUWX4246UUBL6L6OBZLPV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:40:47.539086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d75dfe3a96bf35cf52815f97e7072b7d600301383dc71e67118d3d12fa2a71e6

Aliases

arxiv: 1907.05629 · arxiv_version: 1907.05629v1 · doi: 10.48550/arxiv.1907.05629 · pith_short_12: 25O74OUWX424 · pith_short_16: 25O74OUWX4246UUB · pith_short_8: 25O74OUW

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/25O74OUWX4246UUBL6L6OBZLPV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d75dfe3a96bf35cf52815f97e7072b7d600301383dc71e67118d3d12fa2a71e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d5f64d386f930fc2bd5676c6965f8b5d086b1c4621f716aabd1723a30d6df1",
    "cross_cats_sorted": [
      "math.CV",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-12T08:53:04Z",
    "title_canon_sha256": "6e59438fe650a9d362df355a4a88a3a6df19cc8adf642f483f4541f2946f8087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05629",
    "kind": "arxiv",
    "version": 1
  }
}